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206125696 = 2773141181
BaseRepresentation
bin11000100100100…
…11101010000000
3112100212021022001
430102103222000
5410232010241
632241553344
75052016360
oct1422235200
9470767261
10206125696
11a6397317
1259045854
133392058a
141d5389a0
1513169431
hexc493a80

206125696 has 128 divisors (see below), whose sum is σ = 499000320. Its totient is φ = 82944000.

The previous prime is 206125693. The next prime is 206125739. The reversal of 206125696 is 696521602.

206125696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (206125693) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1138726 + ... + 1138906.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2206125696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

206125696 is an abundant number, since it is smaller than the sum of its proper divisors (292874624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

206125696 is a wasteful number, since it uses less digits than its factorization.

206125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 206125696 is about 14357.0782542967. The cubic root of 206125696 is about 590.7141558010.

The spelling of 206125696 in words is "two hundred six million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 41 56 62 64 82 112 124 128 164 181 217 224 248 287 328 362 434 448 496 574 656 724 868 896 992 1148 1267 1271 1312 1448 1736 1984 2296 2534 2542 2624 2896 3472 3968 4592 5068 5084 5248 5611 5792 6944 7421 8897 9184 10136 10168 11222 11584 13888 14842 17794 18368 20272 20336 22444 23168 27776 29684 35588 36736 39277 40544 40672 44888 51947 59368 71176 78554 81088 81344 89776 103894 118736 142352 157108 162176 162688 179552 207788 230051 237472 284704 314216 359104 415576 460102 474944 569408 628432 718208 831152 920204 949888 1138816 1256864 1610357 1662304 1840408 2513728 3220714 3324608 3680816 5027456 6441428 6649216 7361632 12882856 14723264 25765712 29446528 51531424 103062848 206125696